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EXPERIMENT 4 THEVENIN’S & NORTON’S THEOREM AND MAXIMUM POWER TRANSFER THEOREM PART A - THEVENIN 1. 2. Measure the resistance of each resistor. Record these values in Table 4.1 Select RL as the resistor where it is proposed to determine the current value Construct the circuit in Fig 4.1. Table 4.1 V1 R1 Measured values R2 R3 R4 R5 RL 3. Remove resistor RL from the network. 4. Turn on the supply. Measure the voltage between the points A and D of the network. This is the Thevenin’s voltage. Record the value in Table 4.2 Table 4.2 Measured values Theoretical values Thevenin’s Thevenin’s current in Thevenin’s Thevenin’s current in resistance voltage RL resistance voltage RL PART B - NORTON 1. Construct the circuit as shown in Fig. 4.1. Do not turn on the supply 2. Remove resistor RL from the network. RL is selected as the resistor where it is proposed to determine the current value. 3. Turn on the supply. Read the current shown by the ammeter between terminals A and D. This is Norton’s current, IN. Record its value in Table 4.3. Table 4.2 Measured values Theoretical values Thevenin’s Thevenin’s current in Thevenin’s Thevenin’s current in resistance voltage RL resistance voltage RL Table 4.3 Measured values Norton’s Norton’s Resistance current current in RL Theoretical values Norton’s Norton’s resistance current current in RL PART A - THEVENIN 5. Switch off the power supply. Replace the power supply V1 with a short circuit. 6. Measure the resistance between terminals A and D. This is the Thevenin’s resistance. Record the value in Table 4.2 Table 4.2 Measured values Theoretical values Thevenin’s Thevenin’s current in Thevenin’s Thevenin’s current in resistance voltage RL resistance voltage RL PART B - NORTON 4. Switch off the power supply. Replace the supply with a short circuit. 5. Measure the resistance between terminals A and D. This is Norton’s resistance, record the value in Table 4.3. Table 4.2 Measured values Theoretical values Thevenin’s Thevenin’s current in Thevenin’s Thevenin’s current in resistance voltage RL resistance voltage RL Table 4.3 Measured values Norton’s Norton’s Resistance current current in RL Theoretical values Norton’s Norton’s resistance current Conclusion: RTH = RN current in RL PART A - THEVENIN 7. Place back the resistor RL in circuit with an ammeter is connected between terminals A and B or C and D. 8. Remove the short circuit connection and place back the supply in the circuit. 9. Turn on the supply. Read and record the current value flowing in the resistor RL. Table 4.2 Measured values Theoretical values Thevenin’s Thevenin’s current in Thevenin’s Thevenin’s current in resistance voltage RL resistance voltage RL PART B - NORTON 6. Place back the resistance RL in circuit with an ammeter is connected between terminals A and B or C and D. 7. Place back the power supply in the circuit and remove the short circuit connection. 8. Read and record the current value flowing in the resistor RL. Table 4.2 Measured values Theoretical values Thevenin’s Thevenin’s current in Thevenin’s Thevenin’s current in resistance voltage RL resistance voltage RL 3.2559 V 4.072 mA 619.6 Ω Table 4.3 Measured values Norton’s Norton’s Resistance current current in RL Theoretical values Norton’s Norton’s current in resistance current RL 619.6 Ω 5.255 mA 4.072 mA PART C – MAXIMUM POWER TRANSFER 1. Set up the circuit as shown in Fig. 4.2. B A I C D = GND 2. Apply 10V DC from the DC power supply. Vth = 10 V No connection Connect to DMM (-ve) = node C RL Connect to GND 3. 4. 5. 6. Use the resistor, Rth = 5kΩ Vary the load rheostat RL from 0 Ω to 10 kΩ. Measure the voltages VL and I. Take 11 sets of reading. Record all result in Table 4.4. Connect to DMM to measure the resistance 0kΩ, 1kΩ, 2kΩ, 3kΩ, 4kΩ, 5kΩ, 6kΩ, 7kΩ, 8kΩ, 9kΩ, 10kΩ No. VTH VL (V) I (mA) PIN = VTH I POUT = VL I Loss = PIN POUT %η 1 2 3 4 5 6 10 V 7 8 9 10 11 %η = ( Pout / Pin ) x 100 % %VR = ( RTH / RL) x 100 % %VR RL = VL / I